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The issue of retarded long-range resonant interactions between two molecules with oscillating dipole moments is reinvestigated within the framework of classical electrodynamics. By taking advantage of a theorem in complex analysis, we…

Biological Physics · Physics 2012-01-26 Jordane Preto , Marco Pettini

The long-range interaction of excited neutral atoms has a number of interesting and surprising properties, such as the prevalence of long-range, oscillatory tails, and the emergence of numerically large can der Waals C_6 coefficients.…

Atomic Physics · Physics 2017-09-25 C. M. Adhikari , V. Debierre , U. D. Jentschura

The isotropic and anisotropic coefficients $C^{l,m}_n$ of the long-range spherical expansion $\sim 1/R^n$ ($R$ -- the intermolecular distance) of the dispersion and inductions intermolecular energies are calculated using the first…

Chemical Physics · Physics 2023-04-04 Leonid Shirkov , Michał Tomza

In model independent way considered long-range interactions of the macroscopic objects under assumption that any particle of this objects interact with probe particle as $ A/r^n$. Also presented model-independent corrections to the Coulomb…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. A. Alanakyan

We study the properties of two quantum particles which are confined in a ring. The particles interact via a long-range gauge potential proportional to the distance between the particles. It is found that the two-body ground state…

Quantum Physics · Physics 2023-02-01 Joel Priestley , Gerard Valentí-Rojas , Ewan M. Wright , Patrik Öhberg

The general formalism of the multipolar expansion of electrostatic interactions is applied to the calculation the potential energy between an excited atom (without fine structure) and a ground state diatomic molecule at large separations.…

Quantum Physics · Physics 2017-04-11 M. Lepers , O. Dulieu , V. Kokoouline

We carry out a model study on two-atom interactions and bound states in quasi-two dimensional traps. The interactions are modeled by two-parameter potentials with parameters being the range $r_0$ and the $s$-wave scattering length $a_s$. We…

Atomic Physics · Physics 2015-04-10 Partha Goswami , Arpita Rakshit , Bimalendu Deb

We investigate the ground state properties of a family of $N$-body systems in 1-dimension, trapped in a polynomial potential and having long range 2-body interaction in addition to the inverse square potential studied in the…

Quantum Physics · Physics 2009-11-10 Saugata Ghosh

Enhanced experimental capabilities to control nonlocal and power-law decaying interactions are currently fuelling intense research in the domain of quantum many-body physics. Compared to their counterparts with short-ranged interactions,…

Statistical Mechanics · Physics 2025-09-16 Robert Mattes , Igor Lesanovsky , Federico Carollo

Alkaline-earth-metal atoms exhibit long-range dipolar interactions, which are generated via the coherent exchange of photons on the 3P_0-3D_1-transition of the triplet manifold. In case of bosonic strontium, which we discuss here, this…

Atomic Physics · Physics 2013-04-12 B. Olmos , D. Yu , Y. Singh , F. Schreck , K. Bongs , I. Lesanovsky

We analyze, in general terms, the evolution of energy levels in quantum mechanics, as a function of a coupling parameter, and demonstrate the possibility of level crossings in systems described by irreducible matrices. In long-range…

Quantum Physics · Physics 2017-02-15 C. M. Adhikari , V. Debierre , U. D. Jentschura

We present a simple and general way to accurately describe long-range interactions between atoms and molecules through combining neural networks with physical models. Demonstrations on the H$_3$, Li$_3$ and 2KRb systems illustrate the…

Atomic Physics · Physics 2024-02-27 Yingyue Hong , Jiayu Huang , Dong H. Zhang

We unravel some peculiar properties of ultralong-range Rydberg molecules formed by an $s$-state $^{87}$Rb Rydberg atom and a corresponding ground-state atom whose electronic orbitals are spherically symmetric and therefore should not be…

Atomic Physics · Physics 2019-02-06 Frederic Hummel , Christian Fey , Peter Schmelcher

The long-range quadrupole-quadrupole ($\sim R^{-5}$) and leading dispersion ($\sim R^{-6}$) interactions between all pairs of excited Hg($6s6p$) $^3P_0$, $^3P_1$, $^3P_2$, and $^1P_1$ atoms are determined. The quadrupole moments are…

Atomic Physics · Physics 2009-11-13 James S. Cohen , Andrei Derevianko

We show the existence of ultra-long-range giant dipole molecules formed by a neutral alkali ground state atom that is bound to the decentered electronic wave function of a giant dipole atom. The adiabatic potential surfaces emerging from…

Atomic Physics · Physics 2012-03-14 Markus Kurz , Michael Mayle , Peter Schmelcher

By using long-range interacting polygons, we experimentally probe the coupling between particle shape and long-range interaction. For two typical space-filling polygons, square and triangle, we find two types of coupling modes that…

Soft Condensed Matter · Physics 2020-08-06 Can-can Zhou , Hongchuan Shen , Hua Tong , Ning Xu , Peng Tan

We discuss techniques to generate long-range interactions in a gas of groundstate alkali atoms, by weakly admixing excited Rydberg states with laser light. This provides a tool to engineer strongly correlated phases with reduced decoherence…

Quantum Gases · Physics 2015-05-14 G. Pupillo , A. Micheli , M. Boninsegni , I. Lesanovsky , P. Zoller

We study the effect of long range particle exchange in bosonic arrangements. We show that by combining the solution of the Heisenberg equations of motion with matrix product state representation it is possible to investigate the dynamics as…

Quantum Physics · Physics 2009-07-27 Jose Reslen , Sougato Bose

In recent years, studies of long-range interacting (LRI) systems have taken centre stage in the arena of statistical mechanics and dynamical system studies, due to new theoretical developments involving tools from as diverse a field as…

Statistical Mechanics · Physics 2017-04-05 Shamik Gupta , Stefano Ruffo

We present a new model of sequential adsorption in which the adsorbing particles experience dipolar interactions. We show that in the presence of these long-range interactions, highly ordered structures in the adsorbed layer may be induced…

Soft Condensed Matter · Physics 2009-10-31 R. Pastor-Satorras , J. M. Rubi